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Three pipes P,Q and R can fill a tank in...

Three pipes P,Q and R can fill a tank in 12, 15 and 20 minutes
respectively. If pipe P is opened all the time and pipe Q and
R are opened for one hour alternatively. The tank will be full
in

A

5 hr

B

6 hr

C

7 hr

D

8 hr

Text Solution

Verified by Experts

The correct Answer is:
(c)

`(1//12 + 1//15) + (1//12 + 1//20) = 17/60` (in 2 hrs this much)
tank is filled)
So in 6 hrs 51 /60 is filled . Remaining, ` 9/60= (1/12 +1/15 ) xx T, `
so `T = 1 hr`
so total ` = 6 + 1 = 7 hr`
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